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3 years ago

PLEASE HELP I ATTACHED THE QUESTION BELOW!!!

Mathematics

1 answer:

Len [333]3 years ago

7 0

Answer:

It is correct. Alan can tell by looking at the graph that all sides are congruent.

Step-by-step explanation:

The length of a side can be found from the Pythagorean theorem. The square of a side length of the figure is the sum of the squares of the sides of the right triangle of which the figure's side is a hypotenuse. In each case, those right triangles have side lengths of 1 and 4, so the figure has side lengths that are ...

√(1² + 4²) = √17

All the figure's sides have this geometry, so they are all √17 in length. The fact that all sides are congruent is what makes the figure a rhombus. (The fact that sides are parallel is additional confirmation.)

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Graph quadrilateral ABCD and find the most precise name (square, rectangle,

Pavlova-9 [17]

Answer:

Kite

Step-by-step explanation:

To graph quadrilateral with points:

A(-1,-2)

B(5,1)

C(-3,1)

D(-1,4)

Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:

Measure of segment AB= Measure of segment BD = 6.708 units

Measure of segment AC= Measure of segment CD = 3.605 units

Thus, adjacent pair of sides of the quadrilateral are congruent.

Major diagonal BC cuts the minor diagonal AD at point E such that:

Measure of segment AE= Measure of segment ED = 3 units

m∠AEB = m∠DEB = 90°

Thus, major diagonal is a perpendicular bisector of the minor diagonal.

The above stated features fulfills the criterion of a kite.

Hence, the given quadrilateral ABCD is a kite.

8 0

3 years ago

Factoring trinomials Select two for each

JulijaS [17]

Answer:

x² - 3x - 10 = (x - 5) (x + 2)

x² - 3x - 18 = (x + 3) (x - 6)

Step-by-step explanation:

x² - 3x - 10

x² + 2x - 5x - 10

x(x + 2) - 5(x + 2)

(x - 5) (x + 2)

x² - 3x - 18

x² - 6x + 3x - 18

x(x - 6) + 3(x - 6)

(x + 3) (x - 6)

-TheUnknownScientist

4 0

2 years ago

A building with a height of 14 m casts a shadow that is 16 m long while a taller building casts a 24 m long shadow. What is the

uranmaximum [27]

26 i am not really sure cuz what i did was 16-14= 2
2+24= 26

5 0

3 years ago

Read 2 more answers

5/4 inches to 2/3 inch as a fraction in simplest form

never [62]

Answer:

6/4

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

5. Find the first, fourth, and tenth terms of the arithmetic

Lubov Fominskaja [6]

The first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

Explanation:

The given rule for the arithmetic sequence is $A(n)=-6+(n-1)(\frac{1}{5} )$

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute $n=1,4,10$ in the general rule for the arithmetic sequence.

To find the first term, substitute $n=1$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(1)=-6+(1-1)(\frac{1}{5} )$

$A(1)=-6+(0)(\frac{1}{5} )$

$A(1)=-6$

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute $n=4$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(2)=-6+(4-1)(\frac{1}{5} )$

$A(2)=-6+(3)(\frac{1}{5} )$

$A(2)=\frac{-30+3}{5}$

$A(2)=\frac{-27}{5}$

Thus, the fourth term of the arithmetic sequence is $-\frac{27}{5}$

To find the tenth term, substitute $n=10$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(10)=-6+(10-1)(\frac{1}{5} )$

$A(10)=-6+(9)(\frac{1}{5} )$

$A(10)=-6+\frac{9}{5}$

$A(10)=-\frac{21}{5}$

Thus, the tenth term of the arithmetic sequence is $-\frac{21}{5}$

Hence, the first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

3 0

3 years ago